Geometry – Page 228

Let-ABCD-be-a-quadrilateral-with-an-inscribed-circle-Prove-that-the-circles-inscribed-in-triangles-ABC-and-ADC-are-tangent-to-each-other-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 16958 by Tinkutara last updated on 28/Jun/17 $Let A B C D be a quadrilateral with an$ $inscribed circle . Prove that the circles$ $inscribed in triangles A B C and A D C$ $are tangent to each other .$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Let-M-be-a-point-in-interior-of-ABC-Three-lines-are-drawn-through-M-parallel-to-triangle-s-sides-thereby-producing-three-trapezoids-Suppose-a-diagonal-is-drawn-in-each-trapezoid-in-such-a-way-tha

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Question Number 16951 by Tinkutara last updated on 28/Jun/17 $Let M be a point in interior of Δ A B C .$ $Three lines are drawn through M,$ $parallel to {triangle}^{'} s sides, thereby$ $producing three trapezoids . Suppose a$ $diagonal is drawn in each trapezoid in$ $such a way that the diagonals have no$ $common endpoints . These three$ $$\mathrm{diagonals}\:\mathrm{divide}\:{ABC}\:\mathrm{into}\:\mathrm{seven} \…

Through-the-vertices-of-the-smaller-base-AB-of-the-trapezoid-ABCD-two-parallel-lines-are-drawn-intersecting-the-segment-CD-These-lines-and-the-trapezoid-s-diagonals-divide-it-into-seven-triangles-an

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Question Number 16947 by Tinkutara last updated on 28/Jun/17 $Through the vertices of the smaller$ $base A B of the trapezoid A B C D two$ $parallel lines are drawn, intersecting$ $the segment C D . These lines and the$ ${trapezoid}^{'} s diagonals divide it into$ $seven triangles and a pentagon . Show$ $that the area of the pentagon equals$ $$\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{areas}\:\mathrm{of}\:\mathrm{the}\:\mathrm{three} \…

Consider-the-quadrilateral-ABCD-The-points-M-N-P-and-Q-are-the-midpoints-of-the-sides-AB-BC-CD-and-DA-Let-X-AP-BQ-Y-BQ-CM-Q-CM-DN-and-T-DN-AP-Prove-that-XYZT-AQX-BMY-

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Question Number 16946 by Tinkutara last updated on 28/Jun/17 $Consider the quadrilateral A B C D .$ $The points M, N, P and Q are the$ $midpoints of the sides A B, B C, C D$ $and D A .$ $Let X = A P \cap B Q, Y = B Q \cap C M,$ $Q = C M \cap D N and T = D N \cap A P .$ $Prove that [X Y Z T] = [A Q X] + [B M Y]$ $$+\:\left[{CNZ}\right]\:+\:\left[{DPT}\right]. \…

Six-points-A-B-C-D-E-and-F-are-placed-on-a-square-rigid-as-shown-How-many-triangles-that-are-not-right-angled-can-be-drawn-by-using-3-of-these-6-points-as-vertices-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 16940 by Tinkutara last updated on 28/Jun/17 $Six points A, B, C, D, E, and F are$ $placed on a square rigid, as shown .$ $How many triangles that are not$ $right - angled can be drawn by using 3$ $of these 6 points as vertices ?$ Commented by Tinkutara last updated…

Please-solve-Q-16066-or-please-tell-me-whether-to-post-its-solution-or-not-I-don-t-understood-the-solution-

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Question Number 16911 by Tinkutara last updated on 28/Jun/17 $Please solve Q . 16066 or please tell me$ $whether to post its solution or not . I$ ${don}^{'} t understood the solution .$ Commented by mrW1 last updated on 28/Jun/17 $$\mathrm{I}\:\mathrm{think}\:\mathrm{I}\:\mathrm{have}\:\mathrm{the}\:\mathrm{answer}.\:\mathrm{I}'\mathrm{ll}\:\mathrm{post} \…

Question-82416

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 82416 by TawaTawa last updated on 21/Feb/20 Commented by TawaTawa last updated on 21/Feb/20 $Please help .$ Terms of Service Privacy Policy Contact:…

In-plane-parallel-lines-are-the-lines-which-don-t-meet-each-other-What-is-the-condition-in-space-that-two-lines-be-parallel-

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Question Number 16882 by RasheedSoomro last updated on 27/Jun/17 $^{∙} In plane parallel lines are the lines$ $which {don}^{'} t meet each other .$ $^{∙} What is the condition in space$ $that two lines be parallel ?$ Commented by prakash…

Let-ABCD-be-a-parallelogram-The-points-M-N-and-P-are-chosen-on-the-segments-BD-BC-and-CD-respectively-so-that-CNMP-is-a-parallelogram-Let-E-AN-BD-and-F-AP-BD-Prove-that-AEF-DFP-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 16879 by Tinkutara last updated on 27/Jun/17 $Let A B C D be a parallelogram . The$ $points M, N and P are chosen on the$ $segments B D, B C and C D,$ $respectively, so that C N M P is a$ $parallelogram . Let E = A N \cap B D and$ $F = A P \cap B D . Prove that$ $[A E F] = [D F P] + [B E N] .$ Terms…

From-a-point-on-the-circumcircle-of-an-equilateral-triangle-ABC-parallels-to-the-sides-BC-CA-and-AB-are-drawn-intersecting-the-sides-CA-AB-and-BC-at-the-points-M-N-P-respectively-Prove-that-the

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Question Number 16877 by Tinkutara last updated on 27/Jun/17 $From a point on the circumcircle of an$ $equilateral triangle A B C parallels to$ $the sides B C, C A and A B are drawn,$ $intersecting the sides C A, A B and B C$ $at the points M, N, P, respectively .$ $Prove that the points M, N and P are$ $collinear .$ Terms…

Category: Geometry